Results 31 to 40 of about 224,835 (201)

Locally soluble-by-finite groups with small deviation for non-subnormal subgroups [PDF]

open access: yes, 2007
summary:A group $G$ has subnormal deviation at most $1$ if, for every descending chain $H_{0}>H_{1}>\dots $ of non-subnormal subgroups of $G$, for all but finitely many $i$ there is no infinite descending chain of non-subnormal subgroups of $G$ that ...
Smith, Howard, Kurdachenko, Leonid A.
core   +1 more source

On soluble groups whose subnormal subgroups are inert [PDF]

open access: yesInternational Journal of Group Theory, 2015
A subgroup H of a group G is called inert if‎, ‎for each g∈G ‎, ‎the index of H∩H g in H is finite‎. ‎We give a classification ‎of soluble-by-finite groups G in which subnormal subgroups are inert in the cases where G has no nontrivial torsion ...
Ulderico Dardano , Silvana Rinauro
doaj  

On the subnormalizer of a p-subgroup

open access: yesJournal of Pure and Applied Algebra, 1992
The subnormalizer of a subgroup \(H\) of a group \(G\) is the set \(S(H)=\{g\in G:\;H\triangleleft\triangleleft\langle H,g\rangle\}\). The author considers the case for \(H\) a \(p\)-subgroup of a finite group \(G\) and proves that \(| S(H)|=\alpha(H)\cdot| N(H)| =\lambda(H)\cdot| N(B)|\) where \(B\) is a Sylow \(p\)-subgroup of \(G\), \(\alpha(H)\) is
openaire   +1 more source

Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]

open access: yesInternational Journal of Group Theory, 2012
We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
doaj  

A Survey of Subnormal Subgroups

open access: yesIrish Mathematical Society Bulletin, 1990
The author gives a survey (without proofs) of the high points of the theory of subnormal subgroups developed over the last fifty years. The article is intended as an introduction to the book by Lennox and Stonehewer.
openaire   +2 more sources

On σ-Residuals of Subgroups of Finite Soluble Groups

open access: yesMathematics, 2023
Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by a chain of subgroups H=H0⊆H1⊆⋯⊆Hn=G where, for every j=1,⋯,n, Hj−1 is normal in Hj or Hj/CoreHj(Hj−1)
A. A. Heliel   +3 more
doaj   +1 more source

Groups with all subgroups subnormal [PDF]

open access: yes, 2010
EnAn updated survey on the theory of groups with all subgroups subnormal, including a general introduction on locally nilpotent groups, full proofs of most results, and a review of the possible generalizations of the ...
Casolo , Carlo
core   +1 more source

Associations Between Sperm DNA Fragmentation and Lifestyle Factors

open access: yesAndrology, EarlyView.
ABSTRACT Background Sperm DNA fragmentation index (DFI) has been proposed as a supplementary biomarker to traditional semen parameters in the evaluation of male infertility. However, its determinants and clinical relevance remain unclear, particularly regarding modifiable lifestyle factors.
Lana Haval Mairof Adams   +7 more
wiley   +1 more source

Joins of Almost Subnormal Subgroups [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1979
Following (1) we say that a subgroup H of a group G is almost subnormal in G if H is of finite index in some subnormal subgroup of G, or, equivalently, if |Hn : H| is finite for some n, where Hn is the n-th term of the normal closure series of H in G. The aim of this article is to prove, in answer to a question of R. Baer, the following analogue of the
openaire   +1 more source

Testicular Biopsies in Adolescent and Adult Andrological Patients: The EAA Clinical Guidelines

open access: yesAndrology, Volume 14, Issue 7, Page 1906-1928, October 2026.
ABSTRACT Background Histological evaluation of testicular tissue is central to the assessment of infertile men, particularly those at an increased risk of testicular germ cell tumors (TGCT). Traditionally, testicular biopsies have been used primarily for diagnostic purposes, such as the detection of germ cell neoplasia in situ (GCNIS). With advances in
Lise Aksglaede   +11 more
wiley   +1 more source

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